Partial Differential Equations and Mathematical Physics

Differential Forms, Cycles and Hodge Theory on Complex Analytic Spaces.- On Exact Solutions of Linear PDEs.- Necessary Conditions for Hyperbolic Systems.- Monodromy of the Ramified Cauchy Problem.- Nonlinear Stability of an Expanding Universe with S1Isometry Group.- On the Cauchy Problem for a Weakly Hyperbolic Operator: An Intermediate Case between Effective Hyperbolicy and Levi Condition.- Symplectic Path Intersections and the Leray Index.- A Global Cauchy—Kowalewski Theorem in Some Gevrey Classes.- Sub-Riemannian Geometry and Subelliptic PDEs.- On the Analytic Continuation of the Solution of the Cauchy Problem.- Strong Gevrey Solvability for a System of Linear Partial Differential Equations.- Spherically Symmetric Solutions of the Compressible Euler Equation.- Hyperbolic Cauchy Problem Well Posed in the Class of Gevrey.- Absence of Eigenvalues of Dirac Type Operators.- The Behaviors of Singular Solutions of Partial Differential Equations in Some Class in the Complex Domain.- Systèmes Uniformément Diagonalisables, Dimension Réduite et Symétrie II.- On Hypoellipticity of the Operator exp$$\left[ { - {{\left| {{x_1}} \right|}^{ - \delta }}} \right]D_1^2 + x_1^4D_2^2 + 1$$.